Given the linear correlation coefficient \( r \) and the sample size \( n \), determine the critical values of \( r \) and use your finding to state whether or not the given \( r \) represents a significant linear correlation. Use a significance level of 0.05.\[ r = 0.898, \, n = 9 \]a. Critical values: \( r = -0.666 \), no significant linear correlationb. Critical values: \( r = 0.666 \), no significant linear correlationc. Critical values: \( r = \pm 0.666 \), significant linear correlationd. Critical values: \( r = \pm 0.666 \), no significant linear correlation**Explanation:**The task is to compare the given correlation coefficient \( r = 0.898 \) with the critical values to determine if there is a significant linear correlation. The significance level is set at 0.05, meaning there is a 5% risk of concluding that a correlation exists when there is none.For example, in option c, the critical values for \( r \) are \( \pm 0.666 \). Since \( 0.898 \) is greater than \( 0.666 \), it is considered a significant linear correlation.

Given, r = 0.898 n = 9 α = 0.05 Critical values: r = \pm 0.396,r = ±0.666, Significant linear correlation. The observed correlation value is: 0.898 The critical value for the correlation is: 0.666 The observed correlation value is greater than the critical value, so there is a significant linear relationship occurs between the variables. Answer is Option C Critical values: r = \pm 0.396,r = ± 0.666, Significant linear correlation.

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Statistics

Given the linear correlation coefficient r and the sample size n, determine the critical values or r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of .05. r = .898, n = 9 а. Critical values: r = -.666, no significant linear correlation b. Critical values: r = .666, no significant linear correlation с. Critical values: r = +.666, significant linear correlation d. Critical values: r = 1.666, no significant linear correlation

Given the linear correlation coefficient r and the sample size n, determine the critical values or r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of .05. r = .898, n = 9 а. Critical values: r = -.666, no significant linear correlation b. Critical values: r = .666, no significant linear correlation с. Critical values: r = +.666, significant linear correlation d. Critical values: r = 1.666, no significant linear correlation

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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